Concept explainers
a. Determine the acceleration at the instant shown.
b. Determine the increase in speed and the normal component of acceleration at s = 2 m. At s = 0, v = 0.
c. Determine the acceleration at the instant shown. The particle has a constant speed of 2m/s.
d. Determine the normal and tangential components of acceleration at s = 0 if v = (4s + 1) m/s, where s is in meters.
e. Determine the acceleration at s =2 m if
f. Determine the acceleration when t = 1 s if v = (4t2 + 2) m/s, where t is in seconds.
Learn your wayIncludes step-by-step video
Chapter 12 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Additional Engineering Textbook Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Applied Fluid Mechanics (7th Edition)
Engineering Mechanics: Statics
Mechanics of Materials (10th Edition)
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
- At the instant shown car A is traveling with a velocity of 30 m/s and has an acceleration of 2 m/s2 along the highway. At the same instant B is traveling on the trumpet interchange curve with a speed of 15 m/s, which is decreasing at 0.8 m/s^2. Determine the relative velocity and relative acceleration of B with respect to A at this instant.arrow_forwardA particle has an initial velocity of 6 m/s to the left at s0 = 4 m. Determine its position when t = 3 s if the acceleration is 2 m/s2 to the right.arrow_forwardA boat is traveling along a circular curve having a radius of 100 ft. If its speed at t = 0 is 15 ft/s and is increasing at v = (0.8t) ft/s^2, determine the magnitude of its acceleration at the instant t = 5 s.arrow_forward
- A particle travels along a straight line with a constant acceleration. When s = 4 ft, v = 3 ft/s and when s = 10 ft, v = 8 ft>s. Determine the velocity as a function of position.arrow_forwardAt the instant shown, car A has a speed of 20 km/h, which is being increased at the rate of 300 km/h^2, as the car enters the expressway. At the same instant, car B is decelerating at 250 km/h^2, while travelling forward at 100 km/h.Determine the velocity and acceleration of A with respect to B.arrow_forwardWhen t = 0, the train has a speed of 4 m/s, which is increasing at 0.25 m/s2. Determine the magnitude of the acceleration of the engine when it reaches point A, at t = 15 s. Here the radius of curvature of the tracks is ρA = 300 m.arrow_forward
- A particle travels around a circular path having a radius of 50 m. If it is initially traveling with a speed of 10 m/s and its speed then increases at a rate of v= (0.05 v) m/s^2, determine the magnitude of the particle’s acceleration four seconds later.arrow_forwardA race car enters the circular portion of a track that has a radius of 70 m. When the car enters the curve at point P, it is travelling with a speed of 120 km/h that is increasing at 5 m/s². Three seconds later, determine the x and y components of velocity and acceleration of the car.arrow_forwardThe x-coordinate of a particle in curvilinear motion is given by x = 4.1t3 - 3.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.4t. If the particle has y-components y = 0 and vy = 2.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.5 sec. Sketch the path for the first 3.5 seconds of motion, and show the velocity and acceleration vectors for t = 3.5 sec. determine: a. v in ft / sec b. a in ft / sec2arrow_forward
- The x-coordinate of a particle in curvilinear motion is given by x = 4.1t3 - 3.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.4t. If the particle has y-components y = 0 and vy = 2.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.5 sec. Sketch the path for the first 3.5 seconds of motion, and show the velocity and acceleration vectors for t = 3.5 sec. a. determine v in ft / sec b. determine a in ft / sec2arrow_forwardAt the instant shown, cars A and B are travelling at the speeds shown. If B is accelerating at 1200 mi/h2 while A maintains a constant speed, determine the magnitude of the velocity and acceleration of B with respect to A. Car B moves along the curve having a radius of curvature of 0.7mi. show all the steps in the solution pleasearrow_forwardThe particle P starts from rest at point A at time t = 0 and changes its speed thereafter at a constant rate of 1.4g as it follows the horizontal path shown. Determine the magnitude and direction of its total acceleration (a) just before point B, (b) just after point B, and (c) as it passes point C. State your directions relative to the x-axis shown (CCW positive) and choose the angle with the smallest magnitude.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY